Topological rigidity of automorphism actions on nilmanifolds

Siddhartha Bhattacharya

Topological rigidity of automorphism actions on nilmanifolds

动力系统 2007-05-23 v1

作者: Siddhartha Bhattacharya

摘要

Suppose $X_{1}, X_{2}$ are nilmanifolds and $\rho, \sigma$ are automorphism actions of a discrete group $\Gamma$ on $X_{1}$ and $X_{2}$ respectively. We show that if $(X_{1},\rho)$ and $(X_{2}, \sigma)$ satisfy certain additional conditions then every $\Gamma$ -equivariant continuous map from $(X_{1},\rho)$ to $(X_{2},\sigma)$ is an affine map.

关键词

group actions on manifolds automorphism groups group actions

引用

@article{arxiv.math/9912010,
  title  = {Topological rigidity of automorphism actions on nilmanifolds},
  author = {Siddhartha Bhattacharya},
  journal= {arXiv preprint arXiv:math/9912010},
  year   = {2007}
}

备注

19 pages

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